256753056251557 has 8 divisors (see below), whose sum is σ = 256769102108376. Its totient is φ = 256737010939392.

The previous prime is 256753056251543. The next prime is 256753056251561. The reversal of 256753056251557 is 755152650357652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21409045714081 + 235344010537476 = 4626991^2 + 15340926^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256753056251557 - 2¹¹ = 256753056249509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256753053251557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1298253393 + ... + 1298451145.

It is an arithmetic number, because the mean of its divisors is an integer number (32096137763547).

Almost surely, 2^{256753056251557} is an apocalyptic number.

It is an amenable number.

256753056251557 is a deficient number, since it is larger than the sum of its proper divisors (16045856819).

256753056251557 is a wasteful number, since it uses less digits than its factorization.

256753056251557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272327.

The product of its (nonzero) digits is 330750000, while the sum is 64.

The spelling of 256753056251557 in words is "two hundred fifty-six trillion, seven hundred fifty-three billion, fifty-six million, two hundred fifty-one thousand, five hundred fifty-seven".